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Finding the Third Proportional to 253,713 and 557,646

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Solution

The third proportional to 253,713 and 557,646 is: 1,225,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,713 : 557,646 = 557,646 : x
  2. Step 2: Convert to fraction form
    253,713/557,646 = 557,646/x
  3. Step 3: Cross multiply
    253,713x = 557,646 × 557,646
  4. Step 4: Simplify right side
    253,713x = 310,969,061,316
  5. Step 5: Solve for x
    x = 310,969,061,316/253,713
  6. Step 6: Final answer
    x = 1,225,672.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.